Analogous conditions can be defined for \(\mathcal {F}_{r}\)  and \(\mathcal {F}_{Q}\) . We note that these conditions are asymptotic in nature – we use \(\delta (t)\)  to refer to the finite-horizon expected difference between the observable and context-dependent moments. We use \(H\)  to denote the moment recoverability constant, which bounds how much total cost is incurred for the expert to recover from an arbitrary mistake [1]}:
\(H = \sup _{\begin{array}{c}a \in \mathcal {A}, s \in \mathcal {S}\\ c \in \mathcal {C} , f \in \mathcal {F}\end{array}_{Q_E}} f(s, a, c) - \mathbb {E}_{a^{\prime } \sim \pi ^E(s, c)}[f(s, a, c)]\) 
